Pith Number

pith:4W6JIC5N

pith:2026:4W6JIC5NLTGBIK5NASGM27MHND

not attested not anchored not stored refs pending

An intermediate conjecture between Goldbach and Dubner: every even number is the sum of a prime and a twin prime

Tushar Pandey

arxiv:2608.02381 v1 · 2026-08-03 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W6JIC5NLTGBIK5NASGM27MHND}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-08-04T02:12:06.257789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5bc940bad5ccc142bad048ccd7d8768c9e231be5c09f680ed95297e437aca10

Aliases

arxiv: 2608.02381 · arxiv_version: 2608.02381v1 · doi: 10.48550/arxiv.2608.02381 · pith_short_12: 4W6JIC5NLTGB · pith_short_16: 4W6JIC5NLTGBIK5N · pith_short_8: 4W6JIC5N

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4W6JIC5NLTGBIK5NASGM27MHND \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e5bc940bad5ccc142bad048ccd7d8768c9e231be5c09f680ed95297e437aca10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12791c420fe23a6743cde946d88ac9dc83eaec9d40439aff8ea8e85016b328b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-03T15:25:12Z",
    "title_canon_sha256": "63ba213eb6e81fd2c7bf9c24ff6762509f9062fe728490c8b744b02ad75734ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02381",
    "kind": "arxiv",
    "version": 1
  }
}